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10440323300 = 225211192337587
BaseRepresentation
bin10011011100100101…
…01011000011100100
3222221121022101010202
421232102223003210
5132340210321200
64443552210032
7516502166231
oct115622530344
928847271122
1010440323300
114478321470
122034539918
13ca4ca97c4
14710822788
154118891d5
hex26e4ab0e4

10440323300 has 288 divisors, whose sum is σ = 27928212480. Its totient is φ = 3341606400.

The previous prime is 10440323293. The next prime is 10440323317. The reversal of 10440323300 is 332304401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17785607 + ... + 17786193.

It is an arithmetic number, because the mean of its divisors is an integer number (96972960).

Almost surely, 210440323300 is an apocalyptic number.

10440323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964106240).

10440323300 is an abundant number, since it is smaller than the sum of its proper divisors (17487889180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10440323300 is a wasteful number, since it uses less digits than its factorization.

10440323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10440323300 its reverse (332304401), we get a palindrome (10772627701).

The spelling of 10440323300 in words is "ten billion, four hundred forty million, three hundred twenty-three thousand, three hundred".